Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
840 conjugacy classes of subgroups; only the 405 normal subgroups are shown.
This group has 840 conjugacy classes of subgroups — too many to draw. Only its 405 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19098408 | C2 | direct (N × H) |
| 7. C2×C4×Dic79 | C4 | semidirect |
| 18. C4×Dic79 | C2×C4 | semidirect |
| 45. C2×C79 | #376 | semidirect |
| 50. C79 | C2×#376 | semidirect |
| 95. C2 | #19098408 | direct (N × H) |